Action-minimizing Methods in Hamiltonian Dynamics (MN-50) : : An Introduction to Aubry-Mather Theory / / Alfonso Sorrentino.
John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach-known as Aubry-Mather theory-singles out the existence of special orb...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Mathematical Notes eBook-Package 1970-2016 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©2015 |
Year of Publication: | 2015 |
Edition: | Pilot project,eBook available to selected US libraries only |
Language: | English |
Series: | Mathematical Notes ;
50 |
Online Access: | |
Physical Description: | 1 online resource (128 p.) :; 4 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Chapter One. Tonelli Lagrangians and Hamiltonians on Compact Manifolds
- Chapter Two. From KAM Theory to Aubry-Mather Theory
- Chapter Three. Action-Minimizing Invariant Measures for Tonelli Lagrangians
- Chapter Four. Action-Minimizing Curves for Tonelli Lagrangians
- Chapter Five. The Hamilton-Jacobi Equation and Weak KAM Theory
- Appendices
- Appendix A. On the Existence of Invariant Lagrangian Graphs
- Appendix B. Schwartzman Asymptotic Cycle and Dynamics
- Bibliography
- Index